document.write( "Question 1117796: Solve: |z| + z = 2 + i , where z is a complex no. \n" ); document.write( "

Algebra.Com's Answer #732932 by ikleyn(52832) $\"\"$ $\"About$

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\n" ); document.write( "Solve: |z| + z = 2 + i , where z is a complex no.
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document.write( "Looking into equation, you can momentarily conclude that the imaginary part of z is i; in other words, \r\n" );
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document.write( "z = a + i, where \"a\" is a real nnumber.\r\n" );
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document.write( "Then |z| = ,  and the original equation implies for the real parts\r\n" );
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document.write( " + a = 2,\r\n" );
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document.write( " = 2 - a,   then squaring both sides\r\n" );
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document.write( " = ,\r\n" );
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document.write( "1 = 4 - 4a,\r\n" );
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document.write( "4a = 4-1 = 3  ====>  a = .\r\n" );
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document.write( "Answer.  z = .\r\n" );
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